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Finding the Third Proportional to 5,755,477,083 and 12,524,422,356

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Solution

The third proportional to 5,755,477,083 and 12,524,422,356 is: 27,254,240,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755,477,083 : 12,524,422,356 = 12,524,422,356 : x
  2. Step 2: Convert to fraction form
    5,755,477,083/12,524,422,356 = 12,524,422,356/x
  3. Step 3: Cross multiply
    5,755,477,083x = 12,524,422,356 × 12,524,422,356
  4. Step 4: Simplify right side
    5,755,477,083x = 156,861,155,351,472,603,136
  5. Step 5: Solve for x
    x = 156,861,155,351,472,603,136/5,755,477,083
  6. Step 6: Final answer
    x = 27,254,240,280.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.